7997920000 has 360 divisors, whose sum is σ = 23536790816. Its totient is φ = 2654208000.

The previous prime is 7997919997. The next prime is 7997920013. The reversal of 7997920000 is 297997.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41439904 + ... + 41440096.

Almost surely, 2^7997920000 is an apocalyptic number.

7997920000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7997920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768395408).

7997920000 is an abundant number, since it is smaller than the sum of its proper divisors (15538870816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7997920000 is an equidigital number, since it uses as much as digits as its factorization.

7997920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 43.

The square root of 7997920000 is about 89431.0907906193. The cubic root of 7997920000 is about 1999.8266516423.

The spelling of 7997920000 in words is "seven billion, nine hundred ninety-seven million, nine hundred twenty thousand".